Full-frequency GW from Cayley-transformed self-energy moments

arXiv:2609.29271 · physics.chem-ph, cond-mat.str-el, physics.comp-ph · Submitted 2026-09-24 · Read on arXiv

physics.chem-ph, cond-mat.str-el, physics.comp-ph

Submitted: 2026-09-24

Updated: 2026-10-03

Terminology

• Accuracy — 14× in this paper · explained in 1 episode
• Benchmark — 10× in this paper · explained in 2 episodes
• Effective Hamiltonian — 6× in this paper · explained in 2 episodes
• Core — 4× in this paper · explained in 2 episodes
• Reconstruction Error — 2× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Frequency Dependence — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Self-consistency — 1× in this paper · explained in 2 episodes
• Systematic Bias — 1× in this paper · explained in 3 episodes

Sources

• Moment problems and bounds for matrix-valued smeared spectral functions
• Compact and Stable Representation of Real-Frequency Spectral Functions for Machine Learning
• The truncated matrix trigonometric moment problem with an open gap
• The Analytic Theory of Matrix Orthogonal Polynomials
• The truncated matrix trigonometric moment problem: the operator approach

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